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Finding the Fourth Proportional to 16,414.12, 24,606.02 and 6,551

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Solution

The fourth proportional to 16,414.12, 24,606.02 and 6,551 is: 9,820.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,414.12 : 24,606.02 = 6,551 : x
  2. Step 2: Convert to fraction form
    16,414.12/24,606.02 = 6,551/x
  3. Step 3: Cross multiply
    16,414.12x = 24,606.02 × 6,551
  4. Step 4: Simplify right side
    16,414.12x = 161,194,037.02
  5. Step 5: Solve for x
    x = 161,194,037.02/16,414.12
  6. Step 6: Final answer
    x = 9,820.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.